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Finding the Fourth Proportional to 678.38, 936.32 and 492.35

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Solution

The fourth proportional to 678.38, 936.32 and 492.35 is: 679.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.38 : 936.32 = 492.35 : x
  2. Step 2: Convert to fraction form
    678.38/936.32 = 492.35/x
  3. Step 3: Cross multiply
    678.38x = 936.32 × 492.35
  4. Step 4: Simplify right side
    678.38x = 460,990.01
  5. Step 5: Solve for x
    x = 460,990.01/678.38
  6. Step 6: Final answer
    x = 679.55

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.